5047861668960 has 768 divisors, whose sum is σ = 17918143488000. Its totient is φ = 1184193331200.

The previous prime is 5047861668959. The next prime is 5047861668961. The reversal of 5047861668960 is 698661687405.

It is an interprime number because it is at equal distance from previous prime (5047861668959) and next prime (5047861668961).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5047861668891 and 5047861668900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047861668961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6633194980 + ... + 6633195740.

It is an arithmetic number, because the mean of its divisors is an integer number (23330916000).

Almost surely, 2^{5047861668960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5047861668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959071744000).

5047861668960 is an abundant number, since it is smaller than the sum of its proper divisors (12870281819040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5047861668960 is a wasteful number, since it uses less digits than its factorization.

5047861668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 5047861668960 in words is "five trillion, forty-seven billion, eight hundred sixty-one million, six hundred sixty-eight thousand, nine hundred sixty".